One conjecture on cut points of virtual links and the arrow polynomial of twisted links

DOI10.1142/S0218216522500663OpenAlexW4297564862WikidataQ113777263 ScholiaQ113777263MaRDI QIDQ5044441

Qingying Deng

Publication date: 31 October 2022

Published in: Journal of Knot Theory and Its Ramifications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2103.12283

zbMATH Keywords

virtual linkcut pointsarrow polynomialcheckerboard colorabilitytwisted linkcheckerboard framings

Mathematics Subject Classification ID

Generalized knots (virtual knots, welded knots, quandles, etc.) (57K12)

Cites Work

• On the Jones polynomials of checkerboard colorable virtual links
• The Karoubi envelope and Lee's degeneration of Khovanov homology
• Twisted link theory
• The polynomial invariants of twisted links
• On Khovanov's categorification of the Jones polynomial
• Span of the Jones polynomial of an alternating virtual link
• Virtual knot theory
• A virtualized skein relation for Jones polynomials
• On Sawollek polynomials of checkerboard colorable virtual links
• Khovanov homology, Lee homology and a Rasmussen invariant for virtual knots
• MAGNETIC GRAPHS AND AN INVARIANT FOR VIRTUAL LINKS
• VIRTUAL CROSSING NUMBER AND THE ARROW POLYNOMIAL
• ABSTRACT LINK DIAGRAMS AND VIRTUAL KNOTS
• STABLE EQUIVALENCE OF KNOTS ON SURFACES AND VIRTUAL KNOT COBORDISMS
• Virtual braids
• Virtual links which are equivalent as twisted links
• Cut points: An invariant of virtual links

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